Use the simplex method to solve. The maximum is z= when X₁ = (Simplify your answers.) Maximize z=12x₁ +10x2 subject to: x₁ +5x2 2 23 x1 + x₂ 541 X₁ 20, X₂ 20 with and x2 =

For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).

Find the zeros of the quadratic function: f (x) = x + 10x + 24 %3D X = 8 x= 3 x= 4 x = 6 X = -8 x = -3 what is that sou.doCK vet is thak SOMdecx

Determine maximum or minimum income, earnings and investments through the vertex of a quadratic equation. Mrs. Miranda has a business selling cookies and biscuits. When you sell "x" items per year, the income is described by the quadratic function: f(x)= 72x – 0.08x2 1. Calculate the number of items you should sell each year for maximum income. 2. What is the maximum income?